Implicit Differentiation Challenge Problems

Transcendental equations are generated that cannot be placed into the form y=f(x). The student is then asked to find dy/dx as a function of y and x using implicit differentiation. Hints guide the student to a solution by suggesting how the familiar product and chain rules apply to the problem, but the answer is not given explicitly. This choice was made so as to challenge the student to solve a new type of problem that they have not seen before using the tools they have already learned.